(4a+7)(9a^2+2a-7)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (4a + 7)(9a² + 2a - 7)

This expression involves multiplying two binomials. We can solve this using the FOIL method, which stands for First, Outer, Inner, Last. This method helps us systematically multiply each term in the first binomial by each term in the second binomial.

Here's how we apply FOIL:

1. First: Multiply the first terms of each binomial: (4a) * (9a²) = 36a³

2. Outer: Multiply the outer terms of the binomials: (4a) * (-7) = -28a

3. Inner: Multiply the inner terms of the binomials: (7) * (9a²) = 63a²

4. Last: Multiply the last terms of each binomial: (7) * (-7) = -49

Now, we combine all the terms:

36a³ - 28a + 63a² - 49

Finally, we arrange the terms in descending order of their exponents:

36a³ + 63a² - 28a - 49

Therefore, the expanded form of (4a + 7)(9a² + 2a - 7) is 36a³ + 63a² - 28a - 49.